hydraulic waste compactor - help with program

Hi all, I'm new on this forum. I'm learnig programmin siemens LOGO.
Now I'm wotking on hydraulic waste compactor. If anyone could help me with logo program?

Details of inpunts:
I1 - signal from contactor (after start button press it's hold Q1 out signal for contactor)
I2 - start button signal (one press start cycle)
I3 - limit signal from hight positon (after short signal change direction)
I4 - limit signal from low positon (after short signal change direction)

Out:
Q1 - contactor to engine
Q2 - push forward
Q3 - push back

Note: After press start button it will make 3 cycles height/low position and thene turned down. One cycle takes about 25seconds.

Thanks

Thanks for You answer. I don't know how exactly make counting model that change direction after signal from limit sensors I3/I4 which change outputs between Q2 and Q3 (push and turning back of hydraulic).

And how to make 3 times repetable process (3x push forwad, 3x turn back).

Old logo computer die and can't upload program to PC :(

maybe something like that ?